The length of x in the right triangle is 31.9 units.
How to solve the side of a right triangle?A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.
Therefore, the side of a right triangle can be found using trigonometric ratios as follows:
Hence,
cos 15° = adjacent / hypotenuse
adjacent side = x
hypotenuse side = 33 units
cos 15° = x / 33
cross multiply
x = 33 cos 15°
x = 33 × 0.96592582628
x = 31.8755522675
Therefore,
x = 31.9 units
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Solve for the value of m.
(4m-5)
(3m+3)
Answer:
put the value m=1/2
3m(4m+5)=3
⇒3×1/2(4×1/2+5)+3
⇒3/2(2+5)+3
⇒6/2+15/2+3
⇒37 ans.
Step-by-step explanation:
For the equation, (4m-5)(3m+3)=37 value of m are 2.21 and -1.96
Equation consist of 2 expression equivalent to each other.
Given the following equation:
(4m-5)(3m+3)=37
To calculate the value of m as follows:
4m(3m+3)-5(3m+3)=37
12m²+12m-15m-15=37
12m²-3m-52=0.................................m)
Using discriminant formula:
[tex]d=b^2-4ac.............................1\\x=\dfrac{-b\pm\sqrt d}{2a}............................2[/tex]
Here, from equation m)
a=12, b=-3, c=-52
Substituting in equation 1
d=(-3)²-4(12)(-52)
d=2505
√d=50.04
[tex]m=\dfrac{3\pm 50.04}{2\times 12}\\\\m=2.21 \text{\ and\ } m=-1.96[/tex]
Thus value of m are 2.21 and -1.96
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Complete question:
(4m-5)(3m+3)=37
How many ounces are in 70 pounds? (1 pound= 16 ounces)
*answer must include units!!*
Answer:
1120 ounces
Step-by-step explanation:
1 pound=16 ounces
so 70 pounds =x
just multiply 70 by 16 then you will have the number of ounces
70pounds*16ounces=1120ounces
Answer:
1,120 onces is in 70 pounds
multiply the mass units by 16.
Over with interval of the domain is fungi on m negative
What is 17>20-x, pls alnswer fast i am taking a test
Are you trying to solve the following:
Inequality of x or Solve for x or Graph
Step-by-step explanation:If you are solving for x then here is your answer:Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x > 3
Interval Notation:
( 3 , ∞ )
Hope this helped and have a good one!
≧◠‿◠≦✌WILL MARK BRANILIEST
Celia has a playlist of 21 songs that she listens to when she studies. The playlist includes 14 songs by Celia’s favorite band.
If Celia sets the playlist to randomly shuffle the songs with no repeats, what is the probability that first two songs played are by her favorite band?
A. 13/30
B. 4/9
C. 26/63
D. 1/7
Answer:
4/9
Hope it helps!!! :)
A certain forum reported that in a survey of 2005 american adults, 27% said that they believe in astrology.
(a) Calculate a confidence interval at the 99% confidence level for the proportion of all adult Americans who believe in astrology. (Round your answers to three decimal places.) Interpret the resulting interval.
i. We are 99% confident that the true population mean lies below this interval.
ii. We are 99% confident that the true population mean lies above this interval.
iii. We are 99% confident that this interval contains the true population mean.
iv. We are 99% confident that this interval does not contain the true population mean.
(b) what sample size would be required for the width of a 99% CI to be at most 0.05 irrespective of the value of p? Round your answer up to the nearest integer.)
Answer:
Step-by-step explanation:
Using confidence interval concepts, it is found that:
a)
The 99% confidence interval for the proportion of all adult Americans who believe in astrology is (0.244, 0.296).
The interpretation is:
iii. We are 99% confident that this interval contains the true population mean.
b)
A sample size of 664 would be required.
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm M[/tex]
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
The interpretation of a x% confidence interval between a and b is that we are x% confidence that the true population mean lies in this interval, thus, option iii is correct.
In this problem:
Survey of 2005 adults, thus [tex]n = 2005[/tex].27% believe in astrology, thus, [tex]p = 0.27[/tex].99% confidence interval, thus z has a p-value of [tex]\frac{1 + 0.99}{2} = 0.995[/tex], thus z = 2.575.Then:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 2.575\sqrt{\frac{0.27(0.73)}{2005}}[/tex]
[tex]M = 0.026[/tex]
The interval is:
[tex]M - \pi = 0.27 - 0.026 = 0.244[/tex]
[tex]M + \pi = 0.27 + 0.026 = 0.296[/tex]
The 99% confidence interval for the proportion of all adult Americans who believe in astrology is (0.244, 0.296).
Item b:
Irrespective of the value of p, thus [tex]\pi = 0.5[/tex].Margin of error of [tex]M = 0.05[/tex], and we have to find n:[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.05 = 2.575\sqrt{\frac{0.5(0.5)}{n}}[/tex]
[tex]0.05\sqrt{n} = 2.575(0.5)[/tex]
Dividing both sides by 0.05.
[tex]\sqrt{n} = 2.575(10)[/tex]
[tex](\sqrt{n})^2 = [2.575(10)]^2[/tex]
[tex]n = 663.1[/tex]
Rounding up:
A sample size of 664 would be required.
A similar problem is given at https://brainly.com/question/16807970
A baseball player throws a ball from second base to home plate. How far does the player throw the ball? Include a diagram showing how you got your answer. Decide how many decimal points of accuracy are reasonable. Explain your reasoning.
Answer:
Distance=123.28. Two decimal places is reasonable, because it gives a close approximate to the exact answer, while remaining short and easy to use.
Step-by-step explanation:
Use Pythagorean theorem.
90^2+90^2=c^2
8100+8100=16200
The square root of 16200 is 127.279220614
127.279220614~127.28
OBJECTIVES QUESTIONS
If P = (7, 9, 13) and Q = (1, 7, 13)
Find P Q
A. (1,7, 13) B. (1,9, 13) mos
C. (7, 13) D. 7, 9, 13)
E. (13)
Answer:
A write all the numbers and then plus(+) them and get the answer but plus the separate
Select the correct answer.
What is the value of x in this linear system?
2x + 8y – z = -9
y + z = 7
-x– y + z = 8
A.0
B.-7
C.7
D.-1
If a plane travels over the Pacific Ocean in 2 hours, what is the traveled distance?
Answer:
The plane went as as much in mph as he went in 2 hours
ex: 1mph =2 miles in 2 hours
ex2: 48mph =96 miles in 2 hours
Which equation can be used to find the volume of this solid
Answer:
The volume of a solid is the measure of how much space an object takes up
Find the measure of the numbered angle m<2
10. Which statement cannot be true? Explain.
A. sin A = 0.5
B.) sin A = 1.2654
C. sin A = 0.9962
D. sin A 3/4
help me pls
Midpoint, as the word suggests, means the point which lies in the middle of something.
The correct option is C. P cannot be the midpoint.
What does a midpoint mean?Midpoint, as the word suggests, means the point which lies in the middle of something. The midpoint of a line segment means a point which lies in the mid of the given line segment.
here, we have,
Since EN≅NG, therefore, the length of the two segments will be equal, which means P can not be the midpoint of the line segment EG.
Hence, the correct option is C. P cannot be the midpoint.
Midpoint, as the word suggests, means the point which lies in the middle of something.
The correct option is C. P cannot be the midpoint.
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complete question:
attached below.
what is the answer to 1\2÷3
Answer:
1/6
Step-by-step explanation:
1/2÷3
1/2×1/3
1×1/2×3
1/2×3
1/6
PLEASE HELP!!
a) 16 units
b) /~13 units
c) 20 units
d) /~ units
The expression (2 x 7) x 3 represents the number of times Brandon went to the beach each week during 3 months. Which property is applied to write the equivalent expression 2 x (7x 3)? A. Distributive Property B. Commutative Property of Addition C.Associative Property of Multiplication D.Identity Property of Multiplication
Answer:
B. Distributive property
Step-by-step explanation:
Because (2 times 7) times 3 is the same as 2 times (7 times 3)
The numbers are just put different, and makes a different answer.
So, just because the answers are the same, doesn't make them commutative property,
So, the answer is B. Distributive propertyIn order to determine whether or not there is a significant difference between the mean hourly wages paid by two companies (of the same industry), the following data have been accumulated.
Company A Company B
Sample size 80 60
Sample mean $16.75 $16.25
Population standard deviation $1.00 $.95 The p-value is:_________
a. 0.0084.
b. 0.0042.
c. 0.0026.
d. 0.0013
Answer:
The p-value is;
d. 0.00131
Step-by-step explanation:
The given question parameters are;
Company A [tex]{}[/tex] Company B
Sample size 80[tex]{}[/tex] 60
Sample mean [tex]{}[/tex] [tex]\overline x_1[/tex] $16.75 [tex]\overline x_2[/tex] $16.25
Population standard deviation [tex]{}[/tex] σ₁ $1.00 σ₂ $0.95
[tex]z=\dfrac{(\bar{x}_{1}-\bar{x}_{2})-(\mu_{1}-\mu _{2} )}{\sqrt{\dfrac{\sigma_{1}^{2} }{n_{1}}+\dfrac{\sigma _{2}^{2}}{n_{2}}}}[/tex]
Therefor, we have;
[tex]z=\dfrac{(16.75-16.25)-(0-0)}{\sqrt{\dfrac{1^{2} }{80}+\dfrac{0.95^{2}}{60}}} \approx 3.0128[/tex]
The p-value = 1 - 0.99869 (the area to the right of 3.01) = 0.00131
FIST ONE TO AWNSER AND CORRECT GETS BRAINLYIST AND 50 POINTS HURRY!!!!!!!!!!!!
Which graph shows equivalent ratios?
A. On a coordinate plane, a line goes through points (2, 3) and (4, 4).
B. On a coordinate plane, a line goes through points (2, 2) and (3, 6).
C. On a coordinate plane, a line goes through points (1, 2) and (2, 4).
D. On a coordinate plane, a line goes through points (0, 6) and (1, 5).
Answer:
D
Step-by-step explanation:
It is because you can see the line pass through the value 0 in x-axis while 6 in y-axis which gives the first coordinate (x,y) = (0,6) and the line also past through the value of 5 in x-axis and 1 in y-axis which gives the second coordinate is (1,5).
So it is true that the line did go through at points (0,6) and (1,5).
Answer:
B
Step-by-step explanation:
Other guy is wrong
What are the solutions to the equation: (x - 6)(x + 5) = 0?
answers
5
-5
6
-6
no joke answers or will be reported
Answer:
Step-by-step explanation:
Multiplying anything by zero equals zero. So if either term equals zero the equation is true.
(x-6)(x+5)=0
So if x=-5 or 6 the above is true.
x=(-5,6)
Answer:
the answers I found are 6 and -5
if you separate the two and equate them to 0 you will get the answers like this :
x - 6 = 0. or x + 5 = 0
x= 6. or x = -5
pLEASE HELP first how do I get to the next question and what am I supposed to graph and what’s the answer
Answer:
Option D will be your answer
▪ no solution
Step-by-step explanation:
hope it's helpful...
Pleasee help with this math problem
Guys since everyone is quick with answers pls answer this for me..?
Answer:
point A
Step-by-step explanation:
I'll mark brainliest!
Answer:
C is your answerrrr
can i have brainliest?
Step-by-step explanation:
Answer:
The answer is c
this is the answer because Find the least common denominator or LCM of the two denominators:
LCM of 3 and 8 is 24
Next, find the equivalent fraction of both fractional numbers with denominator 24
For the 1st fraction, since 3 × 8 = 24,
1/3 = 1/3 × 3/8 = 8/24
Likewise, for the 2nd fraction, since 8 × 3 = 24,
3/8 = 3/8 × 1/3= 9/24
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
8/24 < 9/24
or 1/3 < 3/8
please help does anyone know this
is y=3^x growth or decay?
Answer:
growth
Step-by-step explanation:
4x^2 – 44x + 96 factor polynomial completely step by step
Answer:
4(x-8)(x-3)
Step-by-step explanation:
First take out a factor of 4:
4(x^2 -11x + 24)
Then factor the quadratic
4(x-8)(x-3)
please help asap 50 points The sail of a boat is in the shape of a right triangle, as shown below:
The sail of a boat is a right triangle with an acute angle equal to 35 degrees and the side of the sail which is the hypotenuse
Which expression shows the height, in meters, of the sail? (6 points)
Select one:
a. 8 divided by cosec 35 degrees
b. 8 sin 35°
c. 8 sec 35°
d. 8 divided by sec 35 degrees
Answer:
d. 8 divided by sec 35 degrees
Step-by-step explanation:
Answer:
D is right
Step-by-step explanation:
b + 10 = 60
Choose the answer that shows what to do in the process step, and what the solution (answer is).
Question Options:
add 10; b = 50
subtract 10; b = 50
multiply by 10; b = 50
divide by 10; b = 50
Answer:
B
Step-by-step explanation:
What's the equation of this sequence 4,8,16,32,64,128,256
Answer:
n x 2
Step-by-step explanation:
n x 2
4,8,16,32,64,128,256 , 512,1024,2048...
2.
Find the slope
Y=2x+3
Answer:
the slope of that equation is 2
Answer:
2
Step-by-step explanation:
The slope-intercept form is
y mx+b
m is the slope and
b is the y-intercept.